Pith Number

pith:WMFVL65S

pith:2026:WMFVL65SGSAQJVYJ3XJEYUAWER

not attested not anchored not stored refs pending

Weighted topological entropy and intersecting random translates of Bedford--McMullen carpets

Masaki Tsukamoto, Nima Alibabaei

arxiv:2606.06012 v1 · 2026-06-04 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMFVL65SGSAQJVYJ3XJEYUAWER}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-05T01:15:30.320190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b30b55fbb2348104d709ddd24c50162473e4d78ee68d6eabc9ce55b5a3210f63

Aliases

arxiv: 2606.06012 · arxiv_version: 2606.06012v1 · doi: 10.48550/arxiv.2606.06012 · pith_short_12: WMFVL65SGSAQ · pith_short_16: WMFVL65SGSAQJVYJ · pith_short_8: WMFVL65S

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WMFVL65SGSAQJVYJ3XJEYUAWER \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b30b55fbb2348104d709ddd24c50162473e4d78ee68d6eabc9ce55b5a3210f63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5689fe475a63f6c6ea416ed5b6dd5c8f1187f78ae39410da013c0219dccfac5a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-06-04T11:01:43Z",
    "title_canon_sha256": "a7bab0c21b558f6e23ccc15292a642cc7e9ef81797bcf11859ebc5769737ebdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06012",
    "kind": "arxiv",
    "version": 1
  }
}